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Finding the Fourth Proportional to 510,791.34, 765,661.29 and 226,615.72

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Solution

The fourth proportional to 510,791.34, 765,661.29 and 226,615.72 is: 339,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,791.34 : 765,661.29 = 226,615.72 : x
  2. Step 2: Convert to fraction form
    510,791.34/765,661.29 = 226,615.72/x
  3. Step 3: Cross multiply
    510,791.34x = 765,661.29 × 226,615.72
  4. Step 4: Simplify right side
    510,791.34x = 173,510,884,509.48
  5. Step 5: Solve for x
    x = 173,510,884,509.48/510,791.34
  6. Step 6: Final answer
    x = 339,690.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.